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International Journal of Stochastic AnalysisVolume 2012 2012, Article ID 145867, 16 pages

Research Article

Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India

Department of Mathematics, Government College, Chittur, Palakkad 678104, India

Received 24 February 2012; Accepted 13 May 2012

Academic Editor: Ho Lee

Copyright © 2012 A. Krishnamoorthy and C. Sreenivasan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper analyzes an queueing system with two heterogeneous servers, one of which is always available but the other goes on vacation in the absence of customers waiting for service. The vacationing server, however, returns to serve at a low rate as an arrival finds the other server busy. The system is analyzed in the steady state using matrix geometric method. Busy period of the system is analyzed and mean waiting time in the stationary regime computed. Conditional stochastic decomposition of stationary queue length is obtained. An illustrative example is also provided.

Autor: A. Krishnamoorthy and C. Sreenivasan



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